“Damocles shadowing”

Patents of Damocles

Homotopy Shadowing

Michael Shub proved in 1969 that the topological conjugacy class of an expanding endomorphism on a compact manifold is determined by its homotopy type. In this article we generalize this result in two directions. In one direction we consider certain expanding maps on metric spaces. In a second direction we consider maps which are hyperbolic with respect to product cone fields on a product manif...

Disk Shadowing

Disk shadowing is a technique for maintaining a set of two or more identical disk images on separate disk devices. Its primary purpose is to enhance reliability and availability of secondary storage by providing multiple paths to redundant data. However, shadowing can also boost UO performance. In this paper, we contend that intelligent device scheduling of shadowed disks increases the I/O rate...

On Periodic Shadowing Property

In this paper, some properties of the periodic shadowing are presented. It is shown that a homeomorphism has the periodic shadowing property if and only if so does every lift of it to the universal covering space. Also, it is proved that continuous mappings on a compact metric space with the periodic shadowing and the average shadowing property also have the shadowing property and then are chao...

Design of VMS Volume Shadowing Phase II - Host-based Shadowing

VMS Volume Shadowing Overview Phase II is a fully distributed, clusterwide Volume shadowing is a data availability product technique that provides designed to replace the data availability to obsolete controller-based computer systems by shadowing implementation. protecting against Phase II is intended data loss from media to service current and deterioration, future generations of communicatio...